Section Stability Metrique
Radius of Gyration Calculatrice
Use this page to connect section area et weak-axis inertia into radius of gyration, then see how that value feeds directly into slenderness et Euler stability.
Enter length in meters, E in GPa, inertia in cm^4, area in cm^2, et applied axial charge in kN.
Buckling Entrees
End condition
Member data
Use the end condition that best matches the expected rotational restraint.
Use the weaker-axis inertia when buckling can occur about multiple axes.
Area is used to calculate the radius of gyration et slenderness.
Applied charge is compared directly avec the ideal Charge critique d'Euler.
Buckling Diagram
Stability Summary
| End condition | Fixed-Fixed |
| Longueur efficace factor K | 0,500 |
| Radius of gyration r | 6,09 cm |
| Euler stress Fe | 2 373,07 MPa |
| Reserve de charge Pcr - P | 5 725,21 kN |
Buckling Formule
Longueur efficace
Forme generale
L_e = K L
Avec actuel values
L_e = 0.500 * 3.60
Resultat calcule
L_e = 1.80 m
Charge critique d'Euler
Forme generale
P_cr = pi^2 E I / L_e^2
Avec actuel values
P_cr = pi^2 * 210 * 920 / 1.80^2
Resultat calcule
P_cr = 5,885.21 kN
Rapport de slenderness
Forme generale
lambda = L_e / r, r = sqrt(I / A)
Avec actuel values
lambda = 1.80 / sqrt(920 / 25)
Resultat calcule
lambda = 29.55
This screen applies classical Euler elastic buckling et is most reliable pour slender columns before inelastic or code-specific checks.
Hypotheses du modele
- The column is straight, prismatic, et loaded concentrically.
- Material behavior is linear elastic up to the predicted buckling charge.
- Only ideal Euler global buckling is screened here; local buckling et imperfections are excluded.
Lecture technique
Calculation Basis
Assumptions & Limits
- The model screens ideal global Euler buckling only et does not include local buckling or material nonlinearity.
- Imperfections, eccentricity, et frame sway effects need separate ingenierie revue.
- K-factors are modeling hypotheses about end restraint et should be treated as a sensitivity study when restraint is uncertain.
Reference Basis
- Documentation: Methodology
- Documentation: Engineering Review
- Roark's Formulas for Stress and Strain
- Mechanics of Materiaux references
- Euler buckling et column-stability references
Radius of Gyration Basis
| Core formule | r = sqrt(I / A) |
| Why it matters | Controls slenderness together with effective length |
| Actuel section basis | Weak-axis inertia plus gross area |
| Practical use | Compare section efficiency for compression members |
| Best follow-up | Check K-factor and unsupported length assumptions |
Notes techniques
- Radius of gyration is one of the fastest ways to compare how efficiently different sections resist global buckling pour a given area.
- A larger area alone does not guarantee a better compression member if the weak-axis inertia stays low et the resulting radius of gyration remains small.
- Use this page together avec section-property pages when the member family is still open et the goal is to compare compression efficiency before the final section is fixed.
Pages associees